A block of 800N is acted by a horizontal force P as shown in fig. If the coefficient of friction between the block and inclined are

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A block of 800N is acted by a horizontal force P as shown in fig. If the coefficient of friction between the block and inclined are

written 7.3 years ago by

teamques10 ★ 64k

• modified 3.9 years ago

$μ_s=0.35$ and $μ_k=0.25$ determine the value of P for imending motion up the plane.

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engineering mechanics

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written 7.3 years ago by

teamques10 ★ 64k

• modified 5.5 years ago

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$$∑f_y =0$$

$N-mg=0 \\ N=mg $

By Newton’s 2nd law,

$F=ma \\ μ\space N=ma \\ 0.4 ×m ×9.81=m ×a \\ a_n=3.924 m/s^2 \\ a_n= \dfrac {V^2}ρ \\ V=\sqrt{a_n.ρ} = \sqrt{3.924 ×0.5} =1.4m/s $

Angular velocity,

$W = \dfrac Vr = \dfrac {14}{0.5} = 2.8 rad/s \\ W=2.8 rad/sec $

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